cosine (Meaning)

Wordnet

cosine (n)

ratio of the adjacent side to the hypotenuse of a right-angled triangle

Synonyms & Antonyms of cosine

No Synonyms and anytonyms found

cosine Sentence Examples

  1. In trigonometry, the cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
  2. The cosine function is often abbreviated as cos in mathematical notation.
  3. The cosine of 0 degrees is equal to 1, as the adjacent side and hypotenuse coincide in that case.
  4. Mathematicians use the cosine function extensively in fields such as physics, engineering, and computer science.
  5. The graph of the cosine function oscillates between -1 and 1 as the angle varies from 0 to 360 degrees.
  6. Calculating the cosine of an angle involves dividing the length of the adjacent side by the length of the hypotenuse.
  7. Trigonometric identities involving cosine, such as the Pythagorean identity, are fundamental in mathematical analysis.
  8. The cosine of complementary angles is equal, as they share the same adjacent side and hypotenuse.
  9. The cosine rule allows for the calculation of the length of a side in a triangle when the lengths of the other two sides and the included angle are known.
  10. In applications such as signal processing, the cosine function is used to model periodic phenomena and analyze waveforms.

FAQs About the word cosine

ratio of the adjacent side to the hypotenuse of a right-angled triangle

No synonyms found.

No antonyms found.

In trigonometry, the cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

The cosine function is often abbreviated as cos in mathematical notation.

The cosine of 0 degrees is equal to 1, as the adjacent side and hypotenuse coincide in that case.

Mathematicians use the cosine function extensively in fields such as physics, engineering, and computer science.